208139872820880 has 1280 divisors, whose sum is σ = 917671265280000. Its totient is φ = 37558830366720.

The previous prime is 208139872820879. The next prime is 208139872820881. The reversal of 208139872820880 is 88028278931802.

It is an interprime number because it is at equal distance from previous prime (208139872820879) and next prime (208139872820881).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (208139872820881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11227126651 + ... + 11227145189.

It is an arithmetic number, because the mean of its divisors is an integer number (716930676000).

Almost surely, 2^{208139872820880} is an apocalyptic number.

208139872820880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208139872820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458835632640000).

208139872820880 is an abundant number, since it is smaller than the sum of its proper divisors (709531392459120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208139872820880 is a wasteful number, since it uses less digits than its factorization.

208139872820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21352 (or 21346 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 66.

The spelling of 208139872820880 in words is "two hundred eight trillion, one hundred thirty-nine billion, eight hundred seventy-two million, eight hundred twenty thousand, eight hundred eighty".